What is the inverse of f(x)=((7x+3))/(x-5) ?

The inverse of f(x)=((7x+3))/(x-5) is (3+5x)/(x-7)

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inverse of f(x)=((7x+3))/(x-5)

inverse

f (x) = \frac{( 7 x + 3 )}{x - 5}

\frac{3 + 5 x}{x - 7}

Solution steps

y = \frac{7 x + 3}{x - 5}

Replace

x

with

y

x = \frac{7 y + 3}{y - 5}

Solve for

y, x = \frac{7 y + 3}{y - 5}

\frac{3 + 5 x}{x - 7}

f (x) = 2 lo g_{9} (2 x - 5)

- \frac{31}{330} x^{2} - \frac{1007}{1650} x + 5.4

f (x) = ln (4 - 2 x)

f (x) = \frac{x}{5} + 2

What is the inverse of f(x)=((7x+3))/(x-5) ?
The inverse of f(x)=((7x+3))/(x-5) is (3+5x)/(x-7)